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math.DS2019
Decay of Hamiltonian Breathers under Dissipation
Jean-Pierre Eckmann, C. Eugene Wayne
We study metastable behavior in a discrete nonlinear Schrödinger equation from the viewpoint of Hamiltonian systems theory. When there are sites in this equation, we c…
math.DS2017
Breathers as Metastable States for the Discrete NLS equation
Jean-Pierre Eckmann, C. Eugene Wayne
We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with man…